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Finding the Fourth Proportional to 526.84, 789.90 and 283.12

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Solution

The fourth proportional to 526.84, 789.90 and 283.12 is: 424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.84 : 789.90 = 283.12 : x
  2. Step 2: Convert to fraction form
    526.84/789.90 = 283.12/x
  3. Step 3: Cross multiply
    526.84x = 789.90 × 283.12
  4. Step 4: Simplify right side
    526.84x = 223,636.49
  5. Step 5: Solve for x
    x = 223,636.49/526.84
  6. Step 6: Final answer
    x = 424.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.